A song needs to be purchased 1,000,000 times in under a week to reach the top 10 chart. The purchase rate of Bailey's song can b
e represented by the exponential model y=4·6x where y represents the number of sales and x represents the number of days. About how many days will it take for Bailey's song to reach 1,000,000 sales?
After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.
<h3>What is a function?</h3>
It is defined as a special type of relationship and they have a predefined domain and range according to the function.
It is given that the website hosting the song uses the function:
f(t)=2002t² to represent the number of daily hits over time, where t is time in days.
It is required to predict the day on which the number of daily hits reaches 1,000,000.
We have a function:
f(t)=2002t²
When f(t) = 1,000,000 then what will be the value of 't'
Simply:
1000000 = 2002 t²
499.500 = t²
t = √499.500
t= 22.349 days
t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).
Thus, after 22 days and 8 hours (0.349×24 hours) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.
c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal. This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).
Since our tax rate is 8%, r = 8% = 8/100 = 0.08. The price of the item is $40. Using this information, we have:
